Speaker
Przemysław Małkiewicz
(NCBJ)
Description
The appearance of Hamiltonian constraint in the canonical formalism for general relativity reflects the lack of any preferred notion of time. The dynamics of general relativistic systems can be equivalently expressed with respect to various internal degrees of freedom. However, quantization of general relativistic systems breaks down the diffeomorphism invariance and different time variables generally yield inequivalent quantum dynamics. We investigate the sense in which these inequivalent quantum dynamics could be reconciled. Our result is illustrated with the dynamics of gravitational waves in a quantised universe.